from equation (18.1.5) in [1]} and equation (4.215.1) in [2]} where \(Re(m+w)>0, Re(u)<1, 0<Re(m)<1, Re(v)>0, Re(m)<|Re(v)|, Re(\mu )<1, Re(\nu )>0, Re(m)<|Re(\nu )|\)  and using the reflection formula (8.334.3) in [2]} for the Gamma function. We are able to switch the order of integration over \(x\) , \(y\) , \(z\) , \(t\) , \(p\)  and \(q\)  using Fubini's theorem for multiple integrals see (9.112) in [4]}, since the integrand is of bounded measure over the space \(\mathbb {C} \times [0,1] \times [0,1] \times [0,1] \times [0,1] \times [0,1] \times [0,1]\) .
